Ring signature schemes provide anonymity but suffer from the double-spending problem if uncontrolled overused in blockchain transactions. In the unique ring signature scheme, each member in the ring can only generate one signature for one message at most on behalf of the ring, which can effectively prevent the problem of double spending. However, most of the existing unique ring signature schemes are constructed based on the difficult problems of traditional cryptography, which are not safe in the post-quantum environment. This paper design and propose a lattice based unique ring signature scheme, which can provide anonymity protection for the transaction initiator when users trade, and can prevent malicious users from double flower attacks, ensuring the legitimacy of the transaction, and this scheme is safe in the quantum environment.